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Finding the Third Proportional to 360,415.50 and 519,167.25

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Solution

The third proportional to 360,415.50 and 519,167.25 is: 747,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,415.50 : 519,167.25 = 519,167.25 : x
  2. Step 2: Convert to fraction form
    360,415.50/519,167.25 = 519,167.25/x
  3. Step 3: Cross multiply
    360,415.50x = 519,167.25 × 519,167.25
  4. Step 4: Simplify right side
    360,415.50x = 269,534,633,472.56
  5. Step 5: Solve for x
    x = 269,534,633,472.56/360,415.50
  6. Step 6: Final answer
    x = 747,844.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.